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Finding the Third Proportional to 42,778,152 and 92,374,400

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Solution

The third proportional to 42,778,152 and 92,374,400 is: 199,471,678.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,778,152 : 92,374,400 = 92,374,400 : x
  2. Step 2: Convert to fraction form
    42,778,152/92,374,400 = 92,374,400/x
  3. Step 3: Cross multiply
    42,778,152x = 92,374,400 × 92,374,400
  4. Step 4: Simplify right side
    42,778,152x = 8,533,029,775,360,000
  5. Step 5: Solve for x
    x = 8,533,029,775,360,000/42,778,152
  6. Step 6: Final answer
    x = 199,471,678.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.